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1311413240029 is a prime number
BaseRepresentation
bin10011000101010110010…
…100100000000011011101
311122100222122101010012211
4103011112110200003131
5132441233242140104
62442242133000421
7163514020421554
oct23052624400335
94570878333184
101311413240029
11466192649372
121921b1783111
139688681a8c9
14476892a8d9b
15241a5de0e04
hex131565200dd

1311413240029 has 2 divisors, whose sum is σ = 1311413240030. Its totient is φ = 1311413240028.

The previous prime is 1311413240017. The next prime is 1311413240087. The reversal of 1311413240029 is 9200423141131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1267880504004 + 43532736025 = 1126002^2 + 208645^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311413240029 - 225 = 1311379685597 is a prime.

It is a super-2 number, since 2×13114132400292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311413240099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655706620014 + 655706620015.

It is an arithmetic number, because the mean of its divisors is an integer number (655706620015).

Almost surely, 21311413240029 is an apocalyptic number.

It is an amenable number.

1311413240029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311413240029 is an equidigital number, since it uses as much as digits as its factorization.

1311413240029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 1311413240029 in words is "one trillion, three hundred eleven billion, four hundred thirteen million, two hundred forty thousand, twenty-nine".